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Finding the Fourth Proportional to 328,093.52, 491,029.04 and 201,813.70

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Solution

The fourth proportional to 328,093.52, 491,029.04 and 201,813.70 is: 302,037.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,093.52 : 491,029.04 = 201,813.70 : x
  2. Step 2: Convert to fraction form
    328,093.52/491,029.04 = 201,813.70/x
  3. Step 3: Cross multiply
    328,093.52x = 491,029.04 × 201,813.70
  4. Step 4: Simplify right side
    328,093.52x = 99,096,387,369.85
  5. Step 5: Solve for x
    x = 99,096,387,369.85/328,093.52
  6. Step 6: Final answer
    x = 302,037.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.